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Finding the Fourth Proportional to 2,061.65, 3,093.39 and 965.93

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Solution

The fourth proportional to 2,061.65, 3,093.39 and 965.93 is: 1,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.65 : 3,093.39 = 965.93 : x
  2. Step 2: Convert to fraction form
    2,061.65/3,093.39 = 965.93/x
  3. Step 3: Cross multiply
    2,061.65x = 3,093.39 × 965.93
  4. Step 4: Simplify right side
    2,061.65x = 2,987,982.74
  5. Step 5: Solve for x
    x = 2,987,982.74/2,061.65
  6. Step 6: Final answer
    x = 1,449.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.